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Simplifying -12(4 + -1k) + 6 = 2(-7 + -1k) (4 * -12 + -1k * -12) + 6 = 2(-7 + -1k) (-48 + 12k) + 6 = 2(-7 + -1k) Reorder the terms: -48 + 6 + 12k = 2(-7 + -1k) Combine like terms: -48 + 6 = -42 -42 + 12k = 2(-7 + -1k) -42 + 12k = (-7 * 2 + -1k * 2) -42 + 12k = (-14 + -2k) Solving -42 + 12k = -14 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -42 + 12k + 2k = -14 + -2k + 2k Combine like terms: 12k + 2k = 14k -42 + 14k = -14 + -2k + 2k Combine like terms: -2k + 2k = 0 -42 + 14k = -14 + 0 -42 + 14k = -14 Add '42' to each side of the equation. -42 + 42 + 14k = -14 + 42 Combine like terms: -42 + 42 = 0 0 + 14k = -14 + 42 14k = -14 + 42 Combine like terms: -14 + 42 = 28 14k = 28 Divide each side by '14'. k = 2 Simplifying k = 2
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